Comments on “Improving Compressed Sensing With the Diamond Norm”–Saturation of the Norm Inequalities Between Diamond and Nuclear Norm
نویسندگان
چکیده
منابع مشابه
Note on the saturation of the norm inequalities between diamond and nuclear norm
The diamond norm plays an important role in quantum information and operator theory. Recently, it has also been proposed as a reguralizer for low-rank matrix recovery. The norm constants that bound the diamond norm in terms of the nuclear norm (also known as trace norm) are explicitly known. This note provides a simple characterization of all operators saturating the upper and the lower bound.
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2018
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2018.2861887